propshaft alignment
I assume you are relatively new to your boat and these symptoms didn't suddenly pop up after many years of trouble-free sailing. If you don't experience any problems with your steering wheel under sail, then you don't have a steering wheel or rudder problem. The strong pull to port at 2000 rpm and higher is your propwalk - this is normal, and its best you experience with it to use it to your advantage when manoeuvring, otherwise you might get nasty surprises. It will also happen when reversing. The Catalina 30 has a very strong propwalk, especially if you have the 3 bladed fixed prop.The shaking feeling sounds to me like an incorrect alignment of the propshaft. I have had a similar experience two years ago and my mechanic fixed it in no time. The manual explains how to do it yourself, but if you have, like me, limited technical experience, it may be wise to have someone assist you the first time. If the alignment is correct (you don't need to take the boat out of the water to fix that) and the problem persists, then you may have a worn cutlass bearing. To replace that you'll need to put the boat on the dry.Hope this helps.